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This paper studies constrained optimal impulse control problems of a deterministic system described by a (semi)flow, where the performance measures are the discounted total costs including both the costs incurred with applying impulses as…

Optimization and Control · Mathematics 2025-04-28 Alexey Piunovskiy , Yi Zhang

Initially introduced in the framework of quantum control, the so-called "monotonic algorithms" have demonstrated excellent numerical performance when dealing with bilinear optimal control problems. This paper presents a unified formulation…

Optimization and Control · Mathematics 2010-11-11 Julien Salomon , Gabriel Turinici

This paper addresses the optimal covariance steering problem for stochastic discrete-time linear systems subject to probabilistic state and control constraints. A method is presented for efficiently attaining the exact solution of the…

Systems and Control · Electrical Eng. & Systems 2023-10-06 George Rapakoulias , Panagiotis Tsiotras

Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Fabio Spada , Purnanand Elango , Behçet Açıkmeşe

We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach into a mixed-integer optimal control problem without…

Optimization and Control · Mathematics 2021-04-21 Simone Göttlich , Falk M. Hante , Andreas Potschka , Lars Schewe

To economically deploy robotic manipulators the programming and execution of robot motions must be swift. To this end, we propose a novel, constraint-based method to intuitively specify sequential manipulation tasks and to compute…

Robotics · Computer Science 2022-08-22 Mun Seng Phoon , Philipp S. Schmitt , Georg v. Wichert

In this article, we investigate the problem of simultaneously steering an uncountable family of finite dimensional time-varying linear systems. We call this class of control problems Ensemble Control, a notion coming from the study of spin…

Dynamical Systems · Mathematics 2008-10-29 Jr-Shin Li

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

In this paper, we investigate dynamic optimization problems featuring both stochastic control and optimal stopping in a finite time horizon. The paper aims to develop new methodologies, which are significantly different from those of mixed…

Portfolio Management · Quantitative Finance 2014-06-27 Xiongfei Jian , Xun Li , Fahuai Yi

Shaping the reachable set of a dynamical system is a fundamental challenge in control design, with direct implications for both performance and safety. This paper considers the problem of selecting the optimal input matrix for a linear…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Hrishav Das , Melkior Ornik

In this paper, we develop an interior-point method for solving a class of convex optimization problems with time-varying objective and constraint functions. Using log-barrier penalty functions, we propose a continuous-time dynamical system…

Optimization and Control · Mathematics 2016-08-29 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

A method is devised for numerically solving a class of finite-horizon optimal control problems subject to cascade linear discrete-time dynamics. It is assumed that the linear state and input inequality constraints, and the quadratic measure…

Optimization and Control · Mathematics 2017-10-13 Michael Cantoni , Farhad Farokhi , Eric C. Kerrigan , Iman Shames

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

This work proposes an open-loop methodology to solve chance constrained stochastic optimal control problems for linear systems with a stochastic control matrix. We consider a joint chance constraint for polytopic time-varying target sets…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Shawn Priore , Meeko Oishi

This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

Optimization and Control · Mathematics 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

In this paper, we study robust distributed sub-optimal coordination of linear agents subject to input nonlinearities. Inspired by the robust agreement literature, we formulate a bounded distributed sub-optimal coordination problem, in which…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Takumi Namba

The article is devoted to the problem of applying the maximum principle for finding optimal control parameters in simulation tasks of interest for a variety of engineering and industrial systems and processes. Especially important is the…

Optimization and Control · Mathematics 2018-03-28 Ivan V. Kazachkov

This paper considers a class of convex optimization problems where both, the objective function and the constraints, have a continuously varying dependence on time. Our goal is to develop an algorithm to track the optimal solution as it…

Optimization and Control · Mathematics 2015-10-07 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

Learning to perform perfect tracking tasks based on measurement data is desirable in the controller design of systems operating repetitively. This motivates the present paper to seek an optimization-based design approach for iterative…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Deyuan Meng , Jingyao Zhang

This paper is concerned with the distributed control and stabilization problems for linear discrete-time large scale systems with imposed constraints. The main contributions of this paper are: Firstly, by using the maximum principle…

Optimization and Control · Mathematics 2018-01-03 Qingyuan Qi , Huanshui Zhang , Peijun Ju